What is the Greatest Common Factor of 52604 and 52624?

Greatest common factor (GCF) of 52604 and 52624 is 4.

GCF(52604,52624) = 4

We will now calculate the prime factors of 52604 and 52624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52604 and 52624.

How to find the GCF of 52604 and 52624?

We will first find the prime factorization of 52604 and 52624. After we will calculate the factors of 52604 and 52624 and find the biggest common factor number .

Step-1: Prime Factorization of 52604

Prime factors of 52604 are 2, 13151. Prime factorization of 52604 in exponential form is:

52604 = 2² × 13151¹

Step-2: Prime Factorization of 52624

Prime factors of 52624 are 2, 11, 13, 23. Prime factorization of 52624 in exponential form is:

52624 = 2⁴ × 11¹ × 13¹ × 23¹

Step-3: Factors of 52604

List of positive integer factors of 52604 that divides 52604 without a remainder.

1, 2, 4, 13151, 26302

Step-4: Factors of 52624

List of positive integer factors of 52624 that divides 52604 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 23, 26, 44, 46, 52, 88, 92, 104, 143, 176, 184, 208, 253, 286, 299, 368, 506, 572, 598, 1012, 1144, 1196, 2024, 2288, 2392, 3289, 4048, 4784, 6578, 13156, 26312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52604 and 52624. The biggest common factor number is the GCF number.
So the greatest common factor 52604 and 52624 is 4.

Also check out the Least Common Multiple of 52604 and 52624